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155352540 = 22357253997
BaseRepresentation
bin10010100001001…
…11110111011100
3101211022201121210
421100213313130
5304232240130
623225424420
73564321600
oct1120476734
9354281553
10155352540
117a768732
124403b110
13262542a5
14168bd500
15d98a5b0
hex9427ddc

155352540 has 144 divisors (see below), whose sum is σ = 516069792. Its totient is φ = 34804224.

The previous prime is 155352539. The next prime is 155352559. The reversal of 155352540 is 45253551.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 155352498 and 155352507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155322 + ... + 156318.

It is an arithmetic number, because the mean of its divisors is an integer number (3583818).

Almost surely, 2155352540 is an apocalyptic number.

155352540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155352540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258034896).

155352540 is an abundant number, since it is smaller than the sum of its proper divisors (360717252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

155352540 is a wasteful number, since it uses less digits than its factorization.

155352540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 155352540 is about 12464.0499036228. The cubic root of 155352540 is about 537.5754817377.

The spelling of 155352540 in words is "one hundred fifty-five million, three hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 53 60 70 84 98 105 106 140 147 159 196 210 212 245 265 294 318 371 420 490 530 588 636 735 742 795 980 997 1060 1113 1470 1484 1590 1855 1994 2226 2597 2940 2991 3180 3710 3988 4452 4985 5194 5565 5982 6979 7420 7791 9970 10388 11130 11964 12985 13958 14955 15582 19940 20937 22260 25970 27916 29910 31164 34895 38955 41874 48853 51940 52841 59820 69790 77910 83748 97706 104685 105682 139580 146559 155820 158523 195412 209370 211364 244265 264205 293118 317046 369887 418740 488530 528410 586236 634092 732795 739774 792615 977060 1056820 1109661 1465590 1479548 1585230 1849435 2219322 2589209 2931180 3170460 3698870 4438644 5178418 5548305 7397740 7767627 10356836 11096610 12946045 15535254 22193220 25892090 31070508 38838135 51784180 77676270 155352540